Every totally disconnected separable metrizable topological group is an autohomeomorphism group

DOI10.1016/0166-8641(90)90098-MzbMath0719.54048OpenAlexW2045874699MaRDI QIDQ2640189

Jan van Mill

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90098-m

zbMATH Keywords

autohomeomorphism grouptotally disconnected separable metrizable topological group

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Topological representations of algebraic systems (54H10)

Cites Work

• Groups represented by homeomorphism groups. I
• An almost uniquely homogeneous subgroup of \({\mathbb{R}}^ n\)
• Representing countable groups by homeomorphism groups in Hilbert space
• Domain Invariance in Infinite-Dimensional Linear Spaces
• On The Dimensions of Certain Spaces of Homeomorphisms
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